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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If cos⁡  θ=817\cos \,\,\theta = \frac{8}{{17}} and θ\theta lies in the I st quadrant, then the value of cos⁡  (30∘+θ)+cos⁡  (45∘−θ)+cos⁡  (120∘−θ)\cos \,\,\left( {30^\circ + \theta } \right) + \cos \,\,\left( {45^\circ - \theta } \right) + \cos \,\,\left( {120^\circ - \theta } \right) is
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Correct option: A
2317  (3−12+12)\frac{{23}}{{17}}\,\,\left( {\frac{{\sqrt 3 - 1}}{2} + \frac{1}{{\sqrt 2 }}} \right)
Option A is correct because it represents the simplified expression after applying trigonometric sum-to-product formulas and substituting the given values.

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